Is 492925249 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 492 925 249 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 492 925 249, the only two divisors are 1 and 492 925 249. Therefore 492 925 249 is a prime number.
As a consequence, 492 925 249 is only a multiple of 1 and 492 925 249.
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Since 492925249 is a prime number, 492925249 is also a deficient number, that is to say 492925249 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 492925249 without 492925249 itself (that is 1, by definition!).